for a proper generator \(g\) , where \(z\mapsto g(t,s,z)\)  could be of linear, super-linear (which includes sub-quadratic, quadratic, or even super-quadratic). If \((Y(\cdot ),Z(\cdot \,,\cdot ))\)  is an adapted solution of BSVIE (REF ), we can call \(Y(\cdot )\)  an equilibrium dynamical (entropic) risk measure of \(\psi (\cdot )\) . In the case that \(\psi (\cdot )\)  is bounded, and \(z\mapsto g(t,s,z)\)  is quadratic, (the one-dimensional BSVIE) (REF ) admits a unique adapted solution \((Y(\cdot ),Z(\cdot \,,\cdot ))\)  so that we have an equilibrium entropic dynamical risk measure for \(\psi (\cdot )\)  ([1]}).
